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121221312031120 = 24572326335785523
BaseRepresentation
bin11011100100000000001001…
…001111100010100110010000
3120220012122101122211111111211
4123210000021033202212100
5111342042221334443440
61105452145120145504
734350644055153550
oct3344001117424620
9526178348744454
10121221312031120
1135696740454764
1211719604168294
13528417517a482
1421d11ddc13160
15e033a0376eea
hex6e40093e2990

121221312031120 has 160 divisors (see below), whose sum is σ = 337384775135232. Its totient is φ = 39603407771136.

The previous prime is 121221312031003. The next prime is 121221312031139. The reversal of 121221312031120 is 21130213122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121221312031091 and 121221312031100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14505322 + ... + 21280201.

Almost surely, 2121221312031120 is an apocalyptic number.

121221312031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221312031120 is an abundant number, since it is smaller than the sum of its proper divisors (216163463104112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121221312031120 is a wasteful number, since it uses less digits than its factorization.

121221312031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35785829 (or 35785823 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 121221312031120 its reverse (21130213122121), we get a palindrome (142351525153241).

The spelling of 121221312031120 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, three hundred twelve million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 263 280 322 368 460 526 560 644 805 920 1052 1288 1315 1610 1840 1841 2104 2576 2630 3220 3682 4208 5260 6049 6440 7364 9205 10520 12098 12880 14728 18410 21040 24196 29456 30245 36820 42343 48392 60490 73640 84686 96784 120980 147280 169372 211715 241960 338744 423430 483920 677488 846860 1693720 3387440 35785523 71571046 143142092 178927615 250498661 286284184 357855230 500997322 572568368 715710460 823067029 1001994644 1252493305 1431420920 1646134058 2003989288 2504986610 2862841840 3292268116 4007978576 4115335145 5009973220 5761469203 6584536232 8230670290 9411592549 10019946440 11522938406 13169072464 16461340580 18823185098 20039892880 23045876812 28807346015 32922681160 37646370196 46091753624 47057962745 57614692030 65845362320 65881147843 75292740392 92183507248 94115925490 115229384060 131762295686 150585480784 188231850980 216466628627 230458768120 263524591372 329405739215 376463701960 432933257254 460917536240 527049182744 658811478430 752927403920 865866514508 1054098365488 1082333143135 1317622956860 1515266400389 1731733029016 2164666286270 2635245913720 3030532800778 3463466058032 4329332572540 5270491827440 6061065601556 7576332001945 8658665145080 12122131203112 15152664003890 17317330290160 24244262406224 30305328007780 60610656015560 121221312031120